{
  "id": 4655,
  "curve_key": "11248120441:-1073155941861965",
  "ainvs": [
    "1",
    "1",
    "0",
    "-234335842",
    "1241980996480"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 69.43040063918299,
  "faltings_height": 3.7599011094895443,
  "conductor": "476466991732661082",
  "bad_primes": [
    "2",
    "3",
    "41",
    "61",
    "73",
    "113",
    "127",
    "173",
    "4273"
  ],
  "discriminant": "157089654868026599269125732",
  "regulator": "35746.8330293536570689043870110681453632778280394761206",
  "points": [
    [
      "-3974",
      "1454740"
    ],
    [
      "-1307",
      "1244047"
    ],
    [
      "3939",
      "614527"
    ],
    [
      "1438",
      "952162"
    ],
    [
      "-653",
      "1181311"
    ],
    [
      "-214587/16",
      "90317615/64"
    ],
    [
      "5056",
      "429280"
    ],
    [
      "-14134",
      "1322660"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Eight supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 17:40:09",
  "updated_at": "2026-10-20 17:40:09"
}